# Annuity Value and the Lottery

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The $40 million lottery payment that you just won actually pays $2 million per year for 20 years. If the discount rate is 8 percent, and the first payment comes in 1 year:

a) What is the present value of the winnings?

b) What is the first payment comes immediately?

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##### Solution Summary

Annuity Value and the Lottery are computed.

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The present value P of periodic payment K per year at the rate of i for n years is given by:

P = K [ (1+i)^n - 1 ] / [ i*(1+i)^n ] ...

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